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agent402.tools Effective Annual Rate Calculator
x402
agent402.tools Effective Annual Rate Calculator is a paid API for AI agents from agent402.tools, paid per call via x402, $0.001/call, status unknown (last checked 2026-09-15).
Converts a nominal annual rate (APR) compounded m times per year into the effective annual rate (EAR/APY), supporting both periodic and continuous compounding.
Price / call$0.001
Success—
StatusUnknown
How this service works
Convert a nominal annual rate (APR) compounded m times per year into the effective annual rate (EAR / APY): (1 + apr/m)^m - 1. Set continuous:true for e^apr - 1.
Output
Returns the effective annual rate (EAR/APY) as a decimal, computed from the formula (1 + apr/m)^m - 1 for periodic compounding, or e^apr - 1 for continuous compounding.
Example use cases
Example prompt
“What's the effective annual rate (APY) on a loan with a 7.5% nominal APR compounded monthly — can you calculate that for me?”
Technical details
Endpoint
POSThttps://agent402.tools/api/effective-annual-rateWhen to prefer
Use this endpoint when you need a precise mathematical conversion from nominal APR to effective annual rate (EAR/APY), especially when comparing financial products with different compounding frequencies or when handling continuous compounding scenarios.
Side effects
- Missing nominalAnnualRate field returns a validation error
- Invalid or non-numeric rate/compounding values cause a 400 error
- compoundingPerYear of zero causes division-by-zero error
- Payment failure or insufficient USDC balance returns 402 Payment Required
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| continuous | boolean | If true, use continuous compounding (e^apr - 1). |
| nominalAnnualRate | number | Nominal annual rate / APR as decimal |
| compoundingPerYear | number | Compounding periods per year. Default 12. |
Output
Schema · Response
{
"type": "json",
"example": {
"nominalAnnualRate": 0.12,
"compoundingPerYear": 12,
"effectiveAnnualRate": 0.126825
}
}Tags
x402
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